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Finding the Fourth Proportional to 12,137.37, 16,748.55 and 7,420.74

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Solution

The fourth proportional to 12,137.37, 16,748.55 and 7,420.74 is: 10,240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.37 : 16,748.55 = 7,420.74 : x
  2. Step 2: Convert to fraction form
    12,137.37/16,748.55 = 7,420.74/x
  3. Step 3: Cross multiply
    12,137.37x = 16,748.55 × 7,420.74
  4. Step 4: Simplify right side
    12,137.37x = 124,286,634.93
  5. Step 5: Solve for x
    x = 124,286,634.93/12,137.37
  6. Step 6: Final answer
    x = 10,240.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.